3) New homes in the Manteca, CA can have between 1 and 5 bathrooms. Let x represent the number of bathrooms in randomly selected new homes. The following table represents the likelihood of having x bathrooms in a randomly selected new home. Which one would be the correct probability distribution for the random variable x. Justify your answer. a. i. -1 3 4. Px) 0.125 0.310 0.060 0.280 0.225 3 4 5 ii. P(x) 0.125 0.310 0.060 0.280 0.225 b. Using the correct probability distribution for the random variable x, what is the probability that three houses are randomly sclected, and they all have exactly 3 bathrooms cach?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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3) New homes in the Manteca, CA can have between 1 and 5 bathrooms. Let x represent the number of bathrooms
in randomly selected new homes. The following table represents the likelihood of having x bathrooms in a
randomly selected new home.
a.
Which one would be the correct probability distribution for the random variable x. Justify your answer.
i.
-1
0.
4
i5
0.125
0.310
0.060
0.280
0.225
3
4
5
ii.
P(x)
0.125 0.310
0.060 0.280 0.225
b.
Using the correct probability distribution for the random variable x, what is the probability that three
houses are randomly selected, and they all have exactly 3 bathrooms cach?
Transcribed Image Text:3) New homes in the Manteca, CA can have between 1 and 5 bathrooms. Let x represent the number of bathrooms in randomly selected new homes. The following table represents the likelihood of having x bathrooms in a randomly selected new home. a. Which one would be the correct probability distribution for the random variable x. Justify your answer. i. -1 0. 4 i5 0.125 0.310 0.060 0.280 0.225 3 4 5 ii. P(x) 0.125 0.310 0.060 0.280 0.225 b. Using the correct probability distribution for the random variable x, what is the probability that three houses are randomly selected, and they all have exactly 3 bathrooms cach?
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